Electrically switchable polymer-dispersed liquid crystal materials including switchable optical couplers and reconfigurable optical interconnects

ABSTRACT

A new photopolymerizable material allows single-step, fast recording of volume holograms with properties that can be electrically controlled. Polymer-dispersed liquid crystals (PDLCs) in accordance with the invention preferably comprise a homogeneous mixture of a nematic liquid crystal and a multifunctional pentaacrylate monomer in combination with photoinitiator, coinitiator and cross-linking agent. Optionally, a surfactant such as octancic acid may also be added. The PDLC material is exposed to coherent light to produce an interference pattern inside the material. Photopolymerization of the new PDLC material produces a hologram of clearly separated liquid crystal domains and cured polymer domains.

CROSS-REFERENCE TO RELATED APPLICATIONS

This application is a continuation of U.S. patent application Ser. No.11/340,681, filed Jan. 27, 2006 now U.S. Pat. No. 7,198,737, which is acontinuation of U.S. patent application Ser. No. 10/916,430, filed Aug.12, 2004, issued as U.S. Pat. No. 7,081,215, which is a continuation ofU.S. patent application Ser. No. 09/363,169, filed Jul. 29, 1999, issuedas U.S. Pat. No. 6,821,457, which claims the benefit of U.S. ProvisionalApplication 60/094,578, filed Jul. 29, 1998. Each of theabove-identified applications is incorporated herein by reference in itsentirety.

BACKGROUND OF THE INVENTION

1. Field of Invention

The present invention relates generally to electrically switchablepolymer-dispersed liquid crystal holographic materials, and morespecifically to switchable polymer-dispersed liquid crystal materialssuitable for switchable optical coupling and reconfigurable opticalinterconnects.

2. Description of Related Art

Typical state-of-the-art holographic materials do not have anelectro-optical nature which can be exploited for real time control oftheir optical properties. That is, once the hologram is fixed, itsoptical characteristics cannot be changed. Thus, it is seen that thereis a need for materials that can record volume holograms with propertiesthat can be electrically controlled.

Liquid crystals have long been utilized in the prior art for theirability to change their optical orientation in the presence of anelectric field. Additionally, liquid crystals can dramatically increasethe diffraction efficiency of a volume hologram of which they are apart. Together, these properties offer the very desirable possibility ofelectrically switching the diffraction efficiency of volume hologramsfor use in a wide variety of optical information processing and displayapplications.

The prior art has attempted to combine the properties of liquid crystalswith holograms by a variety of methods. Unfortunately, most of theseprior art devices are complex to manufacture and are not successful atoffering all the advantages of volume holographic gratings.

One approach for combining the advantages of liquid crystals with volumeholographic gratings has been to first make a holographic transmissiongrating by exposing a photopolymerizable material with a conventionaltwo-beam apparatus for forming interference patterns inside thematerial. After exposure, the material is processed to produce voidswhere the greatest amount of exposure occurred, that is, along thegrating lines, and then, in a further step, the pores are infused withliquid crystals. Unfortunately, these materials are complex tomanufacture and do not offer flexibility for in situ control over liquidcrystal domain size, shape, density, or ordering.

Polymer-dispersed liquid crystals (PDLCs) are formed from a homogeneousmixture of prepolymer and liquid crystals. As the polymer cures, theliquid crystals separate out as a distinct microdroplet phase. If thepolymer is a photopolymer, this phase separation occurs as theprepolymer is irradiated with light. If a photopolymerizablepolymer-dispersed liquid crystal material is irradiated with light in asuitable pattern, a holographic transmission grating can be made insidethe cured polymer comprising gratings of cured polymer separated byphase-separated liquid crystals. The prior art has attempted to employpolymer-dispersed liquid crystal materials for writing volume gratings,but, despite a variety of approaches, has not been able to achieve highefficiency in the Bragg regime, high density (small grating spacing)capability, or low voltage (<100 Vrms) switching for films in the rangeof 15 microns thickness. The inability to make an electricallyswitchable volume hologram that can be switched at voltages less than100 volts has been a particular deficiency in the prior art in thatlower voltages are necessary to be compatible with conventional displayand information processing technology.

It is, therefore, a principal object of the present invention to providean improved polymer-dispersed liquid crystal system suitable forrecording volume holograms.

It is a particular object of the present invention to provide apolymer-dispersed liquid crystal system that has a fast curing rate toproduce small liquid crystal droplets, particularly in the range of0.01-0.05 microns, for greater clarity of any resulting film and forwriting finer gratings.

It is another object of the present invention to provide a single-step,fast holographic recording material.

It is a further object of the present invention to provide electricallyswitchable volume holograms that can be switched at voltages less than100 volts.

It is also an object of the present invention to provide an improvedpolymer-dispersed liquid crystal system suitable for recordingreflection gratings, including, in particular, switchable reflectiongratings.

It is also an object of the present invention to provide an improvedpolymer-dispersed liquid crystal system suitable for recordingsubwavelength gratings, including, in particular, switchablesubwavelength gratings.

These and other objects of the present invention will become apparent asthe description of certain representative embodiments proceeds.

BRIEF SUMMARY OF THE INVENTION

The present invention provides a novel photopolymerizable material forsingle-step, fast recording of volume holograms with properties that canbe electrically controlled. The unique discovery of the presentinvention is a new homogeneous mixture of a nematic liquid crystal and amultifunctional pentaacrylate monomer, with a photoinitiator, acoinitiator and a cross-linking agent, that accomplishes the objects ofthe invention, particularly the object of fast curing speed and smallliquid crystal droplet size.

Accordingly, the present invention is directed to a polymer-dispersedliquid crystal (“PDLC”) material, comprising the monomerdipentaerythritol hydroxypentaacrylate, a liquid crystal, across-linking monomer, a coinitiator and a photoinitiator dye. Thepolymer-dispersed liquid crystal material may optionally furthercomprise a surfactant. The PDLC material may be approximately 10-40 wt %of the liquid crystal. The PDLC material may be approximately 5-15 wt %of the cross-linking monomer. The amount of the coinitiator may be 10⁻³to 10⁻⁴ gram moles and the amount of the photoinitiator dye may be 10⁻⁵to 10⁻⁶ gram moles. The surfactant, when present, may be up toapproximately 6 wt % of the PDLC material.

The present invention is also directed to an electrically switchablehologram, comprising a pair of transparent plates, and sandwichedbetween the transparent plates, a volume hologram made by exposing aninterference pattern inside a polymer-dispersed liquid crystal material,the polymer-dispersed liquid crystal material comprising, beforeexposure, the monomer dipentaerythritol hydroxypentaacrylate, a liquidcrystal, a cross-linking monomer, a coinitiator and a photoinitiatordye. The electrically switchable hologram may optionally furthercomprise a surfactant.

The present invention is additionally directed to a method for reducingthe switching voltage needed to switch the optical orientation of liquidcrystals in a polymer-dispersed liquid crystal material, comprising thestep of using alternating current switching voltage frequencies greaterthan 1000 Hz.

The present invention is additionally directed to a switchable slantedtransmission grating comprising a polymer-dispersed liquid crystalmaterial disposed between at least two optically transparent electrodeplates, wherein the polymer-dispersed liquid crystal material isconstructed by exposing to light in an interference pattern a mixturecomprising, before exposure: (a) a polymerizable monomer comprising atleast one acrylate; (b) at least one liquid crystal; (c) achain-extending monomer; (d) a coinitiator; and (e) a photoinitiator.

The present invention is additionally directed to an optical couplingdevice comprising: at least one switchable slanted transmission gratingand at least one voltage source associated with said switchable slantedtransmission grating.

The present invention is additionally directed to a method for preparinga switchable slanted transmission grating, comprising: disposing betweenat least two optically transparent electrode plates a mixture thatcomprises, before exposure: (a) a polymerizable monomer comprising atleast one acrylate; (b) a liquid crystal; (c) a chain-extending monomer;(d) a coinitiator; and (e) a photoinitiator; and exposing this mixtureto light in an interference pattern.

The present invention is additionally directed to a method for preparingan optical coupling device comprising constructing a switchable slantedtransmission grating, and electrically connecting said opticallytransparent electrodes to a voltage source.

It is a feature of the present invention that a very clear and orderlyseparation of liquid crystal from cured polymer results, so as toproduce high quality holographic transmission gratings. The prior arthas achieved generally only a distribution of large and small liquidcrystal domains and not the clear, orderly separation made possible bythe present invention.

It is also a feature of the present invention that volume Bragg gratingswith small grating spacings (approximately 4,000 lines per mm) can berecorded.

It is another feature of the present invention that in situ control ofdomain size, shape, density, and ordering is allowed.

It is yet another feature of the present invention that holograms can berecorded using conventional optical equipment and techniques.

It is a further feature of the present invention that a uniquephotopolymerizable prepolymer material is employed. This unique materialcan be used to record holograms in a single step.

It is also a feature of the present invention that the PDLC material hasan anisotropic spatial distribution of phase-separated liquid crystaldroplets within a photochemically-cured polymer matrix.

It is an advantage of the present invention that single-step recordingis nearly immediate and requires no later development or furtherprocessing.

It is another advantage of the present invention that uses thereof arenot limited to transmission gratings, but can be extended to otherholograms such as optical storage devices and reflection andtransmission pictorial holograms.

It is also an advantage that, unlike holograms made with conventionalphotograph-type films or dichromated gels, holograms in accordance withthe present invention can be exposed in a one-step process that requireslittle or no further processing.

It is a further advantage of the present invention that reflection,transmission and pictorial holograms made using the teachings providedherein can be switched on and off.

It is also an advantage of the present invention that switchablereflection gratings can be formed using positive and negative dielectricanisotropy liquid crystals.

These and other features and advantages of the present invention willbecome apparent as the description of certain representative embodimentsproceeds.

BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS

The present invention will be more clearly understood from a reading ofthe following detailed description in conjunction with the accompanyingfigures wherein:

FIG. 1 is a cross-sectional view of an electrically switchable hologrammade of an exposed polymer-dispersed liquid crystal material accordingto the teachings of the present invention;

FIG. 2 is a graph of the normalized net transmittance and normalized netdiffraction efficiency of a hologram made according to the teachings ofthe present invention (without the addition of a surfactant) versus therms voltage applied across the hologram;

FIG. 3 is a graph of both the threshold and complete switching rmsvoltages needed for switching a hologram made according to the teachingsof the present invention to minimum diffraction efficiency versus thefrequency of the rms voltage;

FIG. 4 is a graph of the normalized diffraction efficiency as a functionof the applied electric field for a PDLC material formed with 34% byweight liquid crystal surfactant present and a PDLC material formed with29% by weight liquid crystal and 4% by weight surfactant;

FIG. 5 is a graph showing the switching response time data for thediffracted beam in the surfactant-containing PDLC material in FIG. 5;

FIG. 6 is a graph of the normalized net transmittance and the normalizednet diffraction efficiency of a hologram made according to the teachingsof the present invention versus temperature;

FIG. 7 is an elevational view of a typical experimental arrangement forrecording reflection gratings;

FIGS. 8 a and 8 b are elevational views of a reflection grating inaccordance with the present invention having periodic planes of polymerchannels and PDLC channels disposed parallel to the front surface in theabsence of a field (FIG. 8 a) and with an electric field applied (FIG. 8b) wherein the liquid crystal utilized in the formation of the gratinghas a positive dielectric anisotropy;

FIGS. 9 a and 9 b are elevational views of a reflection grating inaccordance with the invention having periodic planes of polymer channelsand PDLC channels disposed parallel to the front surface of the gratingin the absence of an electric field (FIG. 9 a) and with an electricfield applied (FIG. 9 b) wherein the liquid crystal utilized in theformation of the grating has a negative dielectric anisotropy;

FIG. 10 a is an elevational view of a reflection grating in accordancewith the invention disposed within a magnetic field generated byHelmholtz coils;

FIGS. 10 b and 10 c are elevational views of the reflection grating ofFIG. 10 a in the absence of an electric field (FIG. 10 b) and with anelectric field applied (FIG. 10 c);

FIGS. 11 a and 11 b are representative side views of a slantedtransmission grating (FIG. 11 a) and a slanted reflection grating (FIG.11 b) showing the orientation of the grating vector G of the periodicplanes of polymer channels and PDLC channels;

FIG. 12 is an elevational view of a reflection grating formed inaccordance with the invention while a shear stress field is applied;

FIG. 13 is an elevational view of a subwavelength grating in accordancewith the present invention having periodic planes of polymer channelsand PDLC channels disposed perpendicular to the front surface of thegrating;

FIG. 14 a is an elevational view of a switchable subwavelength gratingin accordance with the present invention wherein the subwavelengthgrating functions as a half wave plate whereby the polarization of theincident radiation is rotated by 90°;

FIG. 14 b is an elevational view of the switchable half wave plate shownin FIG. 14 a disposed between crossed polarizers whereby the incidentlight is transmitted;

FIGS. 14 c and 14 d are side views of the switchable half wave plate andcrossed polarizers shown in FIG. 14 b showing the effect of theapplication of a voltage to the plate whereby the polarization of thelight is no longer rotated and thus blocked by the second polarizer;

FIG. 15 a is a side view of a switchable subwavelength grating inaccordance with the invention wherein the subwavelength gratingfunctions as a quarter wave plate whereby plane polarized light istransmitted through the subwavelength grating, retroreflected by amirror and reflected by the beam splitter;

FIG. 15 b is a side view of the switchable subwavelength grating of FIG.15 a showing the effect of the application of a voltage to the platewhereby the polarization of the light is no longer modified, therebypermitting the reflected light to pass through the beam splitter;

FIGS. 16 a and 16 b are elevational views of a subwavelength grating inaccordance with the present invention having periodic planes of polymerchannels and PDLC channels disposed perpendicular to the front face ofthe grating in the absence of an electrical field (FIG. 16 a) and withan electric field applied (FIG. 16 b) wherein the liquid crystalutilized in formation of the grating has a positive dielectricanisotropy;

FIG. 17 is a side view of five subwavelength gratings wherein thegratings are stacked and connected electrically in parallel therebyreducing the switching voltage of the subwavelength grating;

FIG. 18 is a cross sectional view of the prism system and geometricarrangement for forming highly slanted transmission gratings inaccordance with the present invention;

FIG. 19 is a cross sectional view of a switchable highly slantedtransmission grating in accordance with the present invention;

FIG. 20 is a representative side view of a switchable highly slantedtransmission grating coupled to a substrate in the absence of an appliedfield;

FIG. 21 is a representative side view of a switchable highly slantedtransmission grating coupled as an input to a substrate;

FIG. 22 is a representative side view of a switchable highly slantedtransmission grating coupled as an input to a substrate in the presenceof an applied field;

FIG. 23 is a representative side view of a switchable highly slantedtransmission grating coupled as an output to a substrate in the absenceof an applied field;

FIG. 24 is a representative side view of a highly slanted transmissiongrating coupled as an output to a substrate in the presence of anapplied field;

FIG. 25 is a representative side view of a first highly slantedtransmission grating coupled as an input to a substrate and a secondhighly slanted transmission grating coupled as an output to a substrate;

FIG. 26 is a representative side view of a selectively adjustable andreconfigurable one-to-many fan-out optical interconnect in accordancewith the present invention;

FIG. 27 is a graph of the electrical switching of a highly slantedtransmission grating;

FIG. 28 is a graph of the electrical switching time response of a highlyslanted grating for a 97V step voltage;

FIG. 29 is a graph of the relaxation of a slanted grating when aswitching field of 97 V step voltage was turned off; and

FIG. 30 is a graph of the time response of a slanted grating with higherswitching voltages.

DETAILED DESCRIPTION OF THE INVENTION

In accordance with the present invention there is provided apolymer-dispersed liquid crystal (“PDLC”) material comprising a monomer,a dispersed liquid crystal, a cross-linking monomer, a coinitiator and aphotoinitiator dye. These PDLC materials exhibit clear and orderlyseparation of the liquid crystal and cured polymer, whereby the PDLCmaterial advantageously provides high quality holographic gratings. ThePDLC materials of the present invention are also advantageously formedin a single step. The present invention also utilizes a uniquephotopolymerizable prepolymer material that permits in situ control overcharacteristics of the resulting gratings, such as domain size, shape,density, ordering, and the like. Furthermore, methods and materials ofthe present invention can be used to prepare PDLC materials thatfunction as switchable transmission or reflection gratings.

Polymer-dispersed liquid crystal materials, methods, and devicescontemplated for use in the practice of the present invention are alsodescribed in R. L. Sutherland et al., “Bragg Gratings in an AcrylatePolymer Consisting of Periodic Polymer-Dispersed Liquid-Crystal Planes,”Chemistry of Materials, No. 5, pp. 1533-1538 (1993); in R. L. Sutherlandet al., “Electrically switchable volume gratings in polymer-dispersedliquid crystals,” Applied Physics Letters, Vol. 64, No. 9, pp. 1074-1076(1984); and T. J. Bunning et al., “The Morphology and Performance ofHolographic Transmission Gratings Recorded in Polymer-Dispersed LiquidCrystals,” Polymer, Vol. 36, No. 14, pp. 2699-2708 (1995), G. S.Iannacchinoe, et al., Europhys. Lett. 36, 425 (1996); and V. P.Tondiglia, et al. Opt. Lett. 20, pp. 1325-1327 (1995) all of which arefully incorporated by reference into this Detailed Description of theInvention. Copending patent application Ser. Nos. 08/273,436 and08/273,437, Sutherland et al., titled “Switchable Volume HologramMaterials and Devices,” and “Laser Wavelength Detection and EnergyDosimetry Badge,” respectively, include background material on theformation of transmission gratings inside volume holograms. Reference isalso made to copending application Ser. Nos. 09/033,513, 09/033,512,09/033,514 and 09/034,014, also incorporated herein.

The process by which a hologram is formed according to the invention iscontrolled primarily by the choice of components used to prepare thehomogeneous starting mixture, and to a lesser extent by the intensity ofthe incident light pattern. The preferred polymer-dispersed liquidcrystal (“PDLC”) material employed in the practice of the presentinvention creates a switchable hologram in a single step. A new featureof the preferred PDLC material is that illumination by an inhomogeneous,coherent light pattern initiates a patterned, anisotropic diffusion (orcounter diffusion) of polymerizable monomer and second phase material,particularly liquid crystal (“LC”) for this application. Thus,alternating well-defined channels of second phase-rich material,separated by well-defined channels of nearly pure polymer, are producedin a single-step process.

The resulting preferred PDLC material has an anisotropic spatialdistribution of phase-separated LC droplets within the photochemicallycured polymer matrix. Prior art PDLC materials made by a single-stepprocess can achieve at best only regions of larger LC bubbles andsmaller LC bubbles in a polymer matrix. The large bubble sizes arehighly scattering which produces a hazy appearance and multiple orderdiffractions, in contrast to the well-defined first order diffractionand zero order diffraction made possible by the small LC bubbles of thepreferred PDLC material in well-defined channels of LC-rich material.Reasonably well-defined alternately LC-rich channels and nearly purepolymer channels in a PDLC material are possible by multi-stepprocesses, but such processes do not achieve the precise morphologycontrol over LC droplet size and distribution of sizes and widths of thepolymer and LC-rich channels made possible by the preferred PDLCmaterial.

The sample is prepared by coating the mixture between twoindium-tin-oxide (ITO) coated glass slides separated by spacers ofnominally 10-20 μm thickness. The sample is placed in a conventionalholographic recording setup. Gratings are typically recorded using the488 nm line of an argon ion laser with intensities of between about0.1-100 mW/cm² and typical exposure times of 30-120 seconds. The anglebetween the two beams is varied to vary the spacing of the intensitypeaks, and hence the resulting grating spacing of the hologram.Photopolymerization is induced by the optical intensity pattern. A moredetailed discussion of an exemplary recording apparatus can be found inR. L. Sutherland, et al., “Switchable Holograms in NewPhotopolymer-Liquid Crystal Composite Materials,” Society ofPhoto-Optical Instrumentation Engineers (SPIE), Proceedings Reprint,Volume 2404, reprinted from Diffractive and Holographic OpticsTechnology II (1995), incorporated herein by reference.

The features of the PDLC material are influenced by the components usedin the preparation of the homogeneous starting mixture and, to a lesserextent, by the intensity of the incident light pattern. In a preferredembodiment, the prepolymer material comprises a mixture of aphotopolymerizable monomer, a second phase material, a photoinitiatordye, a coinitiator, a chain extender (or cross-linker), and, optionally,a surfactant.

In the preferred embodiment, the two major components of the prepolymermixture are the polymerizable monomer and the second phase material,which are preferably completely miscible. Highly functionalized monomersare preferred because they form densely cross-linked networks whichshrink to some extent and tend to squeeze out the second phase material.As a result, the second phase material is moved anisotropically out ofthe polymer region and, thereby, separated into well-definedpolymer-poor, second phase-rich regions or domains. Highlyfunctionalized monomers are also preferred because the extensivecross-linking associated with such monomers yields fast kinetics,allowing the hologram to form relatively quickly, whereby the secondphase material will exist in domains of less than approximately 0.1 μm.

Highly functionalized monomers, however, are relatively viscous. As aresult, these monomers do not tend to mix well with other materials, andthey are difficult to spread into thin films. Accordingly, it ispreferable to utilize a mixture of pentaacrylates in combination withdi-, tri-, and/or tetra-acrylates in order to optimize both thefunctionality and viscosity of the prepolymer material. Suitableacrylates, such as triethyleneglycol diacrylate, trimethylolpropanetriacrylate, pentaerythritol triacrylate, pentaerythritol tetraacrylate,pentaerythritol pentaacrylate, and the like can be used in accordancewith the present invention. In the preferred embodiment, it has beenfound that an approximately 1:4 mixture of tri- to pentaacrylatefacilitates homogeneous mixing while providing a favorable mixture forforming 10-20 μm films on the optical plates.

The second phase material of choice for use in the practice of thepresent invention is a liquid crystal. This also allows anelectro-optical response for the resulting hologram. The concentrationof LC employed should be large enough to allow a significant phaseseparation to occur in the cured sample, but not so large as to make thesample opaque or very hazy. Below about 20% by weight very little phaseseparation occurs and diffraction efficiencies are low. Above about 35%by weight, the sample becomes highly scattering, reducing bothdiffraction efficiency and transmission. Samples fabricatedapproximately 25% by weight typically yield good diffraction efficiencyand optical clarity. In prepolymer mixtures utilizing a surfactant, theconcentration of LC may be increased to 35% by weight without loss inoptical performance by adjusting the quantity of surfactant. Suitableliquid crystals contemplated for use in the practice of the presentinvention include the mixture of cyanobiphenyls marketed as E7 by Merck,4′-n-pentyl-4-cyanobiphenyl, 4′-n-heptyl-4-cyanobiphenyl,4′-octaoxy-4-cyanobiphenyl, 4′-pentyl-4-cyanoterphenyl,4-methoxybenzylidene-4′-butylaniline, and the like. Other second phasecomponents are also possible.

The preferred polymer-dispersed liquid crystal material employed in thepractice of the present invention is formed from a prepolymer materialthat is a homogeneous mixture of a polymerizable monomer comprisingdipentaerythritol hydroxypentaacrylate (available, for example, fromPolysciences, Inc., Warrington, Pa.), approximately 10-40 wt % of theliquid crystal E7 (which is a mixture of cyanobiphenyls marketed as E7by Merck and also available from BDH Chemicals, Ltd., London, England),the chain-extending monomer N-vinylpyrrolidone (“NVP”) (available fromthe Aldrich Chemical Company, Milwaukee, Wis.), coinitiatorN-phenylglycine (“NPG”) (also available from the Aldrich ChemicalCompany, Milwaukee, Wis.), and the photoinitiator dye rose bengal ester;(2,4,5,7-tetraiodo-3′,4′,5′,6′-tetrachlorofluorescein-6-acetate ester)marketed as RBAX by Spectragraph, Ltd., Maumee, Ohio). Rose bengal isalso available as rose bengal sodium salt (which must be esterified forsolubility) from the Aldrich Chemical Company. This system has a veryfast curing speed which results in the formation of small liquid crystalmicro-droplets.

The mixture of liquid crystal and prepolymer material are homogenized toa viscous solution by suitable means (e.g., ultrasonification) andspread between indium-tin-oxide (“ITO”) coated glass slides with spacersof nominally 15-100 μm thickness and, preferably, 10-20 μm thickness.The ITO is electrically conductive and serves as an opticallytransparent electrode. Preparation, mixing and transfer of theprepolymer material onto the glass slides are preferably done in thedark as the mixture is extremely sensitive to light.

The sensitivity of the prepolymer materials to light intensity isdependent on the photoinitiator dye and its concentration. A higher dyeconcentration leads to a higher sensitivity. In most cases, however, thesolubility of the photoinitiator dye limits the concentration of the dyeand, thus, the sensitivity of the prepolymer material. Nevertheless, ithas been found that for more general applications photoinitiator dyeconcentrations in the range of 0.2-0.4% by weight are sufficient toachieve desirable sensitivities and allow for a complete bleaching ofthe dye in the recording process, resulting in colorless final samples.Photoinitiator dyes that are useful in generating PDLC materials inaccordance with the present invention are rose bengal ester(2,4,5,7-tetraiodo-3′,4′,5′,6′tetrachlorofluorescein-6-acetate ester);rose bengal sodium salt; eosin; eosin sodium salt; 4,5-diiodosuccinylfluorescein; camphorquinone; methylene blue, and the like. These dyesallow a sensitivity to recording wavelengths across the visible spectrumfrom nominally 400 nm to 700 nm. Suitable near-infrared dyes, such ascationic cyanine dyes with trialkylborate anions having absorption from600-900 nm as well as merocyanine dyes derived from spiropyran shouldalso find utility in connection with the present invention.

The coinitiator employed in the practice of the present inventioncontrols the rate of curing in the free radical polymerization reactionof the prepolymer material. Optimum phase separation and, thus, optimumdiffraction efficiency in the resulting PDLC material, are a function ofcuring rate. It has been found that favorable results can be achievedutilizing coinitiator in the range of 2-3% by weight. Suitablecoinitiators include N-phenylglycine; triethylene amine;triethanolamine; N,N-dimethyl-2,6-diisopropyl aniline, and the like.

Other suitable dyes and dye coinitiator combinations that should besuitable for use in the present invention, particularly for visiblelight, include eosin and triethanolamine; camphorquinone andN-phenyglycine; fluorescein and triethanolamine; methylene blue andtriethanolamine or N-phenylglycine; erythrosin B and triethanolamine;indolinocarbocyanine and triphenyl borate; iodobenzospiropyran andtriethylamine, and the like.

The chain extender (or cross linker) employed in the practice of thepresent invention helps to increase the solubility of the components inthe prepolymer material as well as to increase the speed ofpolymerization. The chain extender is preferably a smaller vinyl monomeras compared with the pentaacrylate, whereby it can react with theacrylate positions in the pentaacrylate monomer, which are not easilyaccessible to neighboring pentaacrylate monomers due to sterichindrance. Thus, reaction of the chain extender monomer with the polymerincreases the propagation length of the growing polymer and results inhigh molecular weights. It has been found that a chain extender ingeneral applications in the range of 10-18% by weight maximizes theperformance in terms of diffraction efficiency. In the preferredembodiment, it is expected that suitable chain extenders can be selectedfrom the following: N-vinyl pyrrolidone; N-vinyl pyridine;acrylonitrile; N-vinyl carbazole, and the like.

It has been found that the addition of a surfactant material, namely,octanoic acid, in the prepolymer material lowers the switching voltageand also improves the diffraction efficiency. In particular, theswitching voltage for PDLC materials containing a surfactant aresignificantly lower than those of a PDLC material made without thesurfactant. While not wishing to be bound by any particular theory, itis believed that these results may be attributed to the weakening of theanchoring forces between the polymer and the phase-separated LCdroplets. SEM studies have shown that droplet sizes in PDLC materialsincluding surfactants are reduced to the range of 30-50 nm and thedistribution is more homogeneous. Random scattering in such materials isreduced due to the dominance of smaller droplets, thereby increasing thediffraction efficiency. Thus, it is believed that the shape of thedroplets becomes more spherical in the presence of a surfactant, therebycontributing to the decrease in switching voltage.

For more general applications, it has been found that samples with aslow as 5% by weight of a surfactant exhibit a significant reduction inswitching voltage. It has also been found that, when optimizing for lowswitching voltages, the concentration of surfactant may vary up to about10% by weight (mostly dependent on LC concentration) after which thereis a large decrease in diffraction efficiency, as well as an increase inswitching voltage (possibly due to a reduction in total phase separationof LC). Suitable surfactants include octanoic acid; heptanoic acid;hexanoic acid; dodecanoic acid; decanoic acid, and the like.

In samples utilizing octanoic acid as the surfactant, it has beenobserved that the conductivity of the sample is high, presumably owingto the presence of the free carboxyl (COOH) group in the octanoic acid.As a result, the sample increases in temperature when a high frequency(˜2 KHz) electrical field is applied for prolonged periods of time.Thus, it is desirable to reduce the high conductivity introduced by thesurfactant, without sacrificing the high diffraction efficiency and thelow switching voltages. It has been found that suitable electricallyswitchable gratings can be formed from a polymerizable monomer, vinylneononanoate (“VN”) (C₈H₁₇CO₂CH═CH₂) commercially available from theAldrich Chemical Co. in Milwaukee, Wis.). Favorable results have alsobeen obtained where the chain extender N-vinyl pyrrolidone (“NVP”) andthe surfactant octanoic acid are replaced by 6.5% by weight VN. VN alsoacts as a chain extender due to the presence of the reactive acrylatemonomer group. In these variations, high optical quality samples wereobtained with about 70% diffraction efficiency, and the resultinggratings could be electrically switched by an applied field of 6V/μm.

PDLC materials in accordance with the present invention may also beformed using a liquid crystalline bifunctional acrylate as the monomer(“LC monomer”). The LC monomers have an advantage over conventionalacrylate monomers due to their high compatibility with the low molecularweight nematic LC materials, thereby facilitating formation of highconcentrations of low molecular weight LC and yielding a sample withhigh optical quality. The presence of higher concentrations of lowmolecular weight LCs in the PDLC material greatly lowers the switchingvoltages (e.g., to ˜2V/μm). Another advantage of using LC monomers isthat it is possible to apply low AC or DC fields while recordingholograms to pre-align the host LC monomers and low molecular weight LCso that a desired orientation and configuration of the nematic directorscan be obtained in the LC droplets. The chemical formulae of severalsuitable LC monomers are as follows:

-   -   CH₂═CH—COO— (CH₂)₆O—C₆H₅—C₆H₅—COO—CH═CH₂    -   CH₂═CH—(CH₂)₈—COO—C₆H₅—COO—(CH₂)₈—CH═CH₂    -   H(CF₂)₁₀ CH₂O—CH₂—C(═CH₂)—COO—(CH₂CH₂O)₃        CH₂CH₂O—COO—CH₂—C(═CH₂)—CH₂O(CF₂)₁₀H        Semifluorinated polymers are known to show weaker anchoring        properties and also significantly reduced switching fields.        Thus, it is believed that semifluorinated acrylate monomers        which are bifunctional and liquid crystalline will find suitable        application in the present invention.

Referring now to FIG. 1 of the drawings, there is shown across-sectional view of an electrically switchable hologram 10 made ofan exposed polymer-dispersed liquid crystal material according to theteachings of the present invention. A layer 12 of the polymer-dispersedliquid crystal material is sandwiched between a pair of indium-tin-oxide(ITO) coated glass slides 14 and spacers 16. The interior of hologram 10shows the Bragg transmission gratings 18 formed when layer 12 wasexposed to an interference pattern from two intersecting beams ofcoherent laser light. The exposure times and intensities can be varieddepending on the diffraction efficiency and liquid crystal domain sizedesired. Liquid crystal domain size can be controlled by varying theconcentrations of photoinitiator, coinitiator and chain-extending (orcross-linking) agent. The orientation of the nematic directors can becontrolled while the gratings are being recorded by application of anexternal electric field across the ITO electrodes.

The scanning electron micrograph shown in FIG. 2 of the referencedApplied Physics Letters article and incorporated herein by reference isof the surface of a grating which was recorded in a sample with a 36 wt% loading of liquid crystal using the 488 nm line of an argon ion laserat an intensity of 95 mW/cm². The size of the liquid crystal domains isabout 0.2 μm and the grating spacing is about 0.54 μm. This sample,which is approximately 20 μm thick, diffracts light in the Bragg regime.

FIG. 2 is a graph of the normalized net transmittance and normalized netdiffraction efficiency of a hologram made according to the teachings ofthe present invention versus the root mean square voltage (“Vrms”)applied across the hologram. Δηn is the change in first order Braggdiffraction efficiency. ΔT is the change in zero order transmittance.FIG. 2 shows that energy is transferred from the first order beam to thezero-order beam as the voltage is increased. There is a true minimum ofthe diffraction efficiency at approximately 225 Vrms. The peakdiffraction efficiency can approach 100%, depending on the wavelengthand polarization of the probe beam, by appropriate adjustment of thesample thickness. The minimum diffraction efficiency can be made toapproach 0% by slight adjustment of the parameters of the PDLC materialto force the refractive index of the cured polymer to be equal to theordinary refractive index of the liquid crystal.

By increasing the frequency of the applied voltage, the switchingvoltage for minimum diffraction efficiency can be decreasedsignificantly. This is illustrated in FIG. 3, which is a graph of boththe threshold rms voltage 20 and the complete switching rms voltage 22needed for switching a hologram made according to the teachings of thepresent invention to minimum diffraction efficiency versus the frequencyof the rms voltage. The threshold and complete switching rms voltagesare reduced to 20 Vrms and 60 Vrms, respectively, at 10 kHz. Lowervalues are expected at even higher frequencies.

Smaller liquid crystal droplet sizes have the problem that it takes highswitching voltages to switch their orientation. As described in theprevious paragraph, using alternating current switching voltages at highfrequencies helps reduce the needed switching voltage. As demonstratedin FIG. 4, another unique discovery of the present invention is thatadding a surfactant (e.g., octanoic acid) to the prepolymer material inamounts of about 4%-6% by weight of the total mixture resulted in sampleholograms with switching voltages near 50 Vrms at lower frequencies of1-2 kHz. As shown in FIG. 5, it has also been found that the use of thesurfactant with the associated reduction in droplet size, reduces theswitching time of the PDLC materials. Thus, samples made with surfactantcan be switched on the order of 25-44 microseconds. Without wishing tobe bound by any theory, the surfactant is believed to reduce switchingvoltages by reducing the anchoring of the liquid crystals at theinterface between liquid crystal and cured polymer.

Thermal control of diffraction efficiency is illustrated in FIG. 6. FIG.6 is a graph of the normalized net transmittance and normalized netdiffraction efficiency of a hologram made according to the teachings ofthe present invention versus temperature.

The polymer-dispersed liquid crystal materials described hereinsuccessfully demonstrate the utility for recording volume holograms of aparticular composition for such polymer-dispersed liquid crystalsystems. Although the disclosed polymer-dispersed liquid crystal systemsare specialized, the present invention will find application in otherareas where a fast curing polymer and a material that can bephase-separated from the polymer will find use.

As shown in FIG. 7, a PDLC reflection grating is prepared by placingseveral drops of the mixture of prepolymer material 112 on an indium-tinoxide (“ITO”) coated glass slide 114 a. A second indium-tin oxide(“ITO”) coated slide 114 b is then pressed against the first, therebycausing the prepolymer material 112 to fill the region between theslides 114 a and 114 b. Preferably, the separation of the slides ismaintained at approximately 20 μm by utilizing uniform spacers 118.Preparation, mixing and transfer of the prepolymer material ispreferably done in the dark. Once assembled, a mirror 116 is placeddirectly behind the glass plate 114 b. The distance of the mirror fromthe sample is preferably substantially shorter than the coherence lengthof the laser. The PDLC material is preferably exposed to the 488 nm lineof an argonion laser, expanded to fill the entire plane of the glassplate, with an intensity of approximately 0.1-100 mWatts/cm² withtypical exposure times of 30-120 seconds. Constructive and destructiveinterference within the expanded beam establishes a periodic intensityprofile through the thickness of the film.

In the preferred embodiment, the prepolymer material utilized to make areflection grating comprises a monomer, a liquid crystal, across-linking monomer, a coinitiator, and a photoinitiator dye. In thepreferred embodiment, the reflection grating is formed from prepolymermaterial comprising by total weight of the monomer dipentaerythritolhydroxypentaacrylate (“DPHA”), 34% by total weight of a liquid crystalcomprising a mixture of cyanobiphenyls (known commercially as “E7”), 10%by total weight of a cross-linking monomer comprising N-vinylpyrrolidone(“NVP”), 2.5% 10 by weight of the coinitiator N-phenylglycine (“NPG”),and 10⁻⁵ to 10⁻⁶ gram moles of a photoinitiator dye comprising rosebengal ester. Further, as with transmission gratings, the addition ofsurfactants is expected to facilitate the same advantageous propertiesdiscussed above in connection with transmission gratings. It is alsoexpected that similar ranges and variation of prepolymer startingmaterials will find ready application in the formation of suitablereflection gratings.

It has been determined by low voltage, high resolution scanning electronmicroscopy (“LVHRSEM”) that the resulting material comprises a finegrating with a periodicity of 165 nm with the grating vectorperpendicular to the plane of the surface. Thus, as shown schematicallyin FIG. 8 a, grating 130 includes periodic planes of polymer channels130 a and PDLC channels 130 b which run parallel to the front surface134. The grating spacing associated with these periodic planes remainsrelatively constant throughout the full thickness of the sample from theair/film to the film/substrate interface.

Although interference is used to prepare both transmission andreflection gratings, the morphology of the reflection grating differssignificantly. In particular, it has been determined that, unliketransmission gratings with similar liquid crystal concentrations, verylittle coalescence of individual droplets was evident. Furthermore, thedroplets that were present in the material were significantly smaller,having diameters between 50 and 100 nm. Furthermore, unlike transmissiongratings where the liquid crystal-rich regions typically comprise lessthan 40% of the grating, the liquid crystal-rich component of areflection grating is significantly larger. Due to the much smallerperiodicity associated with reflection gratings, i.e., a narrowergrating spacing (˜0.2 microns), it is believed that the time differencebetween completion of curing in high intensity versus low intensityregions is much smaller. Thus, gelation occurs more quickly and dropletgrowth is minimized. It is also believed that the fast polymerization,as evidenced by small droplet diameters, traps a significant percentageof the liquid crystal in the matrix during gelation and precludes anysubstantial growth of large droplets or diffusion of small droplets intolarger domains.

Analysis of the reflection notch in the absorbance spectrum supports theconclusion that a periodic refractive index modulation is disposedthrough the thickness of the film. In PDLC materials that are formedwith the 488 nm line of an argon ion laser, the reflection notchtypically has a reflection wavelength at approximately 472 nm for normalincidence and a relatively narrow bandwidth. The small differencebetween the writing wavelength and the reflection wavelength(approximately 5%) indicates that shrinkage of the film is not asignificant problem. Moreover, it has been found that the performance ofsuch gratings is stable over periods of many months.

In addition to the materials utilized in the preferred embodimentdescribed above, it is believed that suitable PDLC materials could beprepared utilizing monomers such as triethyleneglycol diacrylate,trimethylolpropanetriacrylate, pentaerythritol triacrylate,pentaerythritol tetraacrylate, pentaerythritol pentaacrylate, and thelike. Similarly, other coinitiators such as triethylamine,triethanolamine, N,N-dimethyl-2,6-diisopropylaniline, and the like couldbe used instead of N-phenyl glycine. Where it is desirable to use the458 nm, 476 nm, 488 nm or 514 nm lines of an argon ion laser, thephotoinitiator dyes rose bengal sodium salt, eosin, eosin sodium salt,fluorescein sodium salt and the like will give favorable results. Wherethe 633 nm line is utilized, methylene blue will find ready application.Finally, it is believed that other liquid crystals, such as4′-pentyl-4-cyanobiphenyl or 4′-heptyl-4-cyanobiphenyl, can be utilizedin accordance with the invention.

Referring again to FIG. 8 a, there is shown an elevational view of areflection grating 130 in accordance with the invention having periodicplanes of polymer channels 130 a and PDLC channels 130 b disposedparallel to the front surface 134 of the grating 130. The symmetry axis136 of the liquid crystal domains is formed in a direction perpendicularto the periodic channels 130 a and 130 b of the grating 130 andperpendicular to the front surface 134 of the grating 130. Thus, when anelectric field E is applied, as shown in FIG. 8 b, the symmetry axis 136is already in a low energy state in alignment with the field E and willnot reorient. Thus, reflection gratings formed in accordance with theprocedure described above will not normally be switchable.

In general, a reflection grating tends to reflect a narrow wavelengthband, such that the grating can be used as a reflection filter. In thepreferred embodiment, however, the reflection grating is formed so thatit will be switchable. In accordance with the present invention,switchable reflection gratings can be made utilizing negative dielectricanisotropy LCs (or LCs with a low cross-over frequency), an appliedmagnetic field, an applied shear stress field, or slanted gratings.

It is known that liquid crystals having a negative dielectric anisotropy(Δ∈) will rotate in a direction perpendicular to an applied field. Asshown in FIG. 9 a, the symmetry axis 136 of the liquid crystal domainsformed with liquid crystal having a negative Δ∈ will also be disposed ina direction perpendicular to the periodic channels 130 a and 130 b ofthe grating 130 and to the front surface 134 of the grating. However,when an electric field E is applied across such gratings, as shown inFIG. 9 b, the symmetry axis of the negative Δ∈ liquid crystal willdistort and reorient in a direction perpendicular to the field E, whichis perpendicular to the film and the periodic planes of the grating. Asa result, the reflection grating can be switched between a state whereit is reflective and a state where it is transmissive. The followingnegative Δ∈ liquid crystals and others are expected to find readyapplication in the methods and devices of the present invention:

Liquid crystals can be found in nature (or synthesized) with eitherpositive or negative Δ∈. Thus, in more detailed aspects of theinvention, it is possible to use a LC which has a positive Δ∈ at lowfrequencies, but becomes negative at high frequencies. The frequency (ofthe applied voltage) at which Δ∈ changes sign is called the cross-overfrequency. The cross-over frequency will vary with LC composition, andtypical values range from 1-10 kHz. Thus, by operating at the properfrequency, the reflection grating may be switched. In accordance withthe invention, it is expected that low crossover frequency materials canbe prepared from a combination of positive and negative dielectricanisotropy liquid crystals. A suitable positive dielectric liquidcrystal for use in such a combination contains four ring esters as shownbelow:

A strongly negative dielectric liquid crystal suitable for use in such acombination is made up of pyridazines as shown below:

Both liquid crystal materials are available from LaRoche & Co.,Switzerland. By varying the proportion of the positive and negativeliquid crystals in the combination, crossover frequencies from 1.4-2.3kHz are obtained at room temperature. Another combination suitable foruse in the present embodiment is a combination of the following:p-pentylphenyl-2-chloro-4-(p-pentylbenzoyloxy)benzoate and benzoate.These materials are available from Kodak Company.

In still more detailed aspects of the invention, switchable reflectiongratings can be formed using positive Δ∈ liquid crystals. As shown inFIG. 10 a, such gratings are formed by exposing the PDLC startingmaterial to a magnetic field during the curing FIG. 10 a), the use of apermanent magnet, or other suitable means. Preferably, the magneticfield M is oriented parallel to the front surface of the glass plates(not shown) that are used to form the grating 140. As a result, thesymmetry axis 146 of the liquid crystals will orient along the fieldwhile the mixture is fluid. When polymerization is complete, the fieldmay be removed and the alignment of the symmetry axis of the liquidcrystals will remain unchanged. (See FIG. 10 b.) When an electric fieldis applied, as shown in FIG. 10 c, the positive Δ∈ liquid crystal willreorient in the direction of the field, which is perpendicular to thefront surface of grating and to the periodic channels of the grating.

FIG. 11 a depicts a slanted transmission grating 148 and FIG. 11 bdepicts a slanted reflection grating 150. A holographic transmissiongrating is considered slanted if the direction of the grating vector Gis not parallel to the grating surface. In a holographic reflectiongrating, the grating is said to be slanted if the grating vector G isnot perpendicular to the grating surface. Slanted gratings have many ofthe same uses as nonslanted gratings such as visual displays, mirrors,line filters, optical switches, and the like.

Primarily, slanted holographic gratings are used to control thedirection of a diffracted beam. For example, in reflection holograms aslanted grating is used to separate the specular reflection of the filmfrom the diffracted beam. In a PDLC holographic grating, a slantedgrating has an even more useful advantage. The slant allows themodulation depth of the grating to be controlled by an electric fieldwhen using either tangential or homeotropic aligned liquid crystals.This is because the slant provides components of the electric field inthe directions both tangential and perpendicular to the grating vector.In particular, for the reflection grating, the LC domain symmetry axiswill be oriented along the grating vector G and can be switched to adirection perpendicular to the film plane by a longitudinally appliedfield E. This is the typical geometry for switching of the diffractionefficiency of a slanted reflection grating.

When recording slanted reflection gratings, it is desirable to place thesample between the hypotenuses of two right-angle glass prisms. Neutraldensity filters can then be placed in optical contact with the backfaces of the prisms using index matching fluids so as to frustrate backreflections which would cause spurious gratings to also be recorded. Theincident laser beam is split by a conventional beam splitter into twobeams which are then directed to the front faces of the prisms, and thenoverlapped in the sample at the desired angle. The beams thus enter thesample from opposite sides. This prism coupling technique permits thelight to enter the sample at greater angles. The slant of the resultinggrating is determined by the angle at which the prism assembly isrotated (i.e., the angle between the direction of one incident beam andthe normal to the prism front face at which that beam enters the prism).

As shown in FIG. 12, switchable reflection gratings may be formed in thepresence of an applied shear stress field. In this method, a shearstress would be applied along the direction of a magnetic field M. Thiscould be accomplished, for example, by applying equal and oppositetensions to the two ITO coated glass plates which sandwich theprepolymer mixture while the polymer is still soft. This shear stresswould distort the LC domains in the direction of the stress, and theresultant LC domain symmetry axis will be preferentially along thedirection of the stress, parallel to the PDLC planes and perpendicularto the direction of the applied electric field for switching.

Reflection gratings prepared in accordance with the teachings of thepresent invention will find application in color reflective displays,switchable wavelength filters for laser projection, and the like.

As described herein, a holographic grating may be formed by overlappingtwo interfering incident beams in a sample. Similarly, a slanted gratingcan be prepared by overlapping the beams so that the angle of incidenceof the first beam with respect to a normal from the sample is differentfrom the angle of incidence of the second beam. In recording a slantedreflection grating the beams preferably enter the sample from oppositesides. In recording a slanted transmission grating, however, the beamsenter the sample from the same side. The resulting slant of the grating,½(θ_(ref)-θ_(obj)), will be related to the angle between the incidentbeams. In certain applications, it may be desirable to prepare slantedgratings in which the grating vector G is disposed at a large angle tothe grating surface. Such gratings are referred to as highly slantedgratings.

In preparing highly slanted gratings, it is desirable to dispose thefirst incident beam at a large angle of incidence with respect to thesecond beam, which is directed along a normal to the sample. However,this arrangement may result in undesirable reflection losses in thefirst beam, which may affect the balance between the intensity of theincident beams and the resulting index modulation. Therefore, it may bedesirable to reduce these reflection losses by directing the incidentbeam through a prism assembly as shown in FIG. 18.

In the particular arrangement shown in FIG. 18, two right angle prismsare combined into an assembly that is adapted to reduce reflectionlosses. This assembly is disposed on the surface of the sample. It isdesirable to utilize an index matching fluid between the prisms andbetween the prism assembly and the sample in order to minimizereflections. The prisms are advantageously selected so that the first,object beam may be directed at a normal to one of the prisms(corresponding to a normal to the sample) and the second, reference beamcan be directed at a normal to the other prism (corresponding to thedesired angle to the sample). Neutral density filters can then be placedin optical contact with the back faces of the prisms using indexmatching fluids so as to frustrate back reflections which would causespurious gratings to also be recorded. The incident laser beam is splitby a conventional beam splitter into two beams which are then directedto the front faces of the prisms, and then overlapped in the sample atthe desired angle. The beams thus enter the sample from the same sideand the prism assembly advantageously reduces spurious reflections.

A switchable slanted transmission grating made in accordance with thepresent invention is shown in FIG. 19. Light of a wavelength that ismatched to the Bragg condition will be diffracted into the −1-order bythe grating and deflected by an angle 2θ_(s), where θ_(s) or θ_(slant)is the slant angle of the grating. When a voltage is applied, the indexmodulation of the grating is reduced and the incident radiation can passthrough the grating.

As shown in FIGS. 20-22, switchable slanted transmission gratings inaccordance with the present invention can be utilized as holographicoptical elements (HOEs), and, more particularly, as switchable opticalcoupling devices. In the system shown in FIGS. 20-22, a switchableslanted transmission grating is placed in optical contact with atransparent substrate. The substrate is preferably a thick transparentmedium, such as glass, so that the light guided by total internalreflection (TIR) follows a path determined primarily by geometric opticsrather than in a waveguide mode (which would occur for a thin film ofthickness comparable to the optical wavelength). In the system shown inFIGS. 20-22, the grating has a slant angle, θ_(s) or θ_(slant), and thesubstrate has a critical angle, θ_(c), for total internal reflection.If, as shown in FIGS. 20-21, the condition 2θ_(slant)>θ_(c), issatisfied, then the input light will be diffracted into the substratewhere it will be subjected to total internal reflection. Moreover, if avoltage is applied to the switchable slanted transmission grating, asshown in FIG. 22, the diffraction efficiency of the grating can bemodified so that the incident light will be transmitted through thegrating. Thus, by applying a voltage, the system shown in FIGS. 20-21can be selectively switched out of the TIR substrate mode. In addition,by varying the applied voltage and the corresponding diffractionefficiency of the grating, the amount of light diffracted into thesubstrate can be selectively controlled.

Referring now to FIGS. 23 and 24, a switchable slanted transmissiongrating may similarly be utilized as an output coupling device. As shownin FIG. 23, a switchable slanted transmission grating may be placed inoptical contact with a transparent substrate at a point where light istotally internally reflected within the substrate, so that the lightwill be diffracted out of the substrate. Where a voltage is applied tothe switchable slanted transmission grating, as shown in FIG. 24, thediffraction efficiency of the grating can be modified so that theincident light will not be diffracted through the grating. More detailedaspects of such output coupling devices are discussed in connection withthe discussion of FIGS. 25 and 26.

Where a slanted grating is to be used for optical coupling to asubstrate, it is often desirable to select the angle of the slant and tomatch the index of the grating to that of the substrate. Moreover, itwill be appreciated that the application of an anti-reflective coatingto the grating will advantageously reduce spurious reflections. It willalso be appreciated that the polymer-dispersed liquid crystal materialmay be selected so that the diffraction efficiency of the grating can beconveniently adjusted from 0 to 100% by the application of an electricfield.

An example of a static one-to-many fan-out optical interconnect is givenin an article entitled “Cross-link Optimized Cascaded Volume HologramArray with Energy-equalized One-to-many Surface-normal Fan-outs,” by J.Liu, C. Zhao, R. Lee, and R. T. Chen, Optics Letters, 22, pp. 1024-26(1997), incorporated herein by reference.

As shown in FIGS. 25 and 26, however, switchable slanted transmissiongratings can be used as optical couplers to form devices such as aselectively adjustable and reconfigurable one-to-many fan-out opticalinterconnect. A first input slanted transmission grating, such as thegrating shown in FIG. 19, is disposed in optical contact with thesubstrate. At several points along the substrate where light reflectsinternally, transmission grating, such as the grating shown in FIG. 19,is disposed in optical contact with the substrate. At several pointsalong the substrate where light reflects internally, additional outputslanted transmission gratings, such as those shown in FIGS. 23-24, maybe deposited with good optical contact so that the light may bediffracted out of the substrate. It will be appreciated that the slantangle, θ_(s) or θ_(slant), of the output gratings is advantageouslyoriented at the opposite angle of the input grating. Individual voltagesources are preferably connected to the input and each of the outputgratings.

As shown in the particular example in FIG. 25, the slant angle of thegrating should exceed 23° so that the diffracted angle is 46° andgreater than the 41.3° critical angle for the total internal reflectionfor the BK-7 glass substrate (having a refractive index of 1.52). Thislarge slant allows light, normally incident on the waveguide, to bediffracted at such a large angle that the light becomes trapped insidethe glass slab due to total internal reflection.

For a one-to-many fan-out optical interconnect having a total of Noutputs of equal optical power, the diffraction efficiencies of eachsuccessive HOE is given by:

${\eta_{j} = \frac{1}{N - j + 1}},\left( {j = {1^{K}N}} \right)$Thus, light may be coupled into the substrate by a diffraction gratingwhich deflects the light at an angle greater than the critical angle forTIR. The coupled light is guided along the substrate by TIR. At eachoutput node some light is coupled out of the substrate by diffractionwhile the remainder continues to propagate down the substrate.Eventually all of the light may be coupled out of the substrate and sentto N other inputs, such as detectors, nodes of other switches, or thelike. In such devices, it is desirable to control the diffractionefficiency to equalize the output power in each channel of the fan-outfrom the required values result in either poor performance or rejectionof the element and re-manufacture of the part. In particular, it isdifficult to achieve a uniform fan-out energy distribution in suchsubstrate guided-wave interconnects. In the present invention, theholographic optical elements can be manufactured with the samediffraction efficiency (˜100%) and voltage-tuned in real-time to achievethe desired diffraction efficiency. As a result, the yield and qualityof such elements can be increased and the ease of use is dramaticallyimproved. Moreover, in devices incorporating static HOEs, it isdifficult to adjust individual outputs and the configuration of thedevice. Typically such changes must be made mechanically by alterationof the existing HOEs or substitution of HOEs within the system. Inparticular, the same HOEs could not be used in a general reconfigurationof a substrate guided-wave interconnect since the diffractionefficiencies would not be correct for equal power fan-out. Finally, itis desirable to incorporate an input HOE having a high diffractionefficiency, such as the switchable gratings of the present invention,into such devices.

Switchable polymer-dispersed liquid crystal materials in accordance withthe invention have been advantageously utilized to provide electricallyswitchable substrate guidedwave optical interconnects. Advantageously,the diffraction efficiency of each HOE can be tuned electrically toachieve equal-power fan-out. This feature eases manufacturingtolerances. In addition, by adjusting the output of the HOEs, the systemcan be reconfigured to display different fan-out, different outputs,different modules, or other configurational changes. Moreover, when asystem is reconfigured, the diffraction efficiencies can bevoltage-tuned to equalize the fan-out energy distribution, if desired.

In the example of a reconfigurable interconnect incorporating switchableHOEs in accordance with the present invention shown in FIG. 26, each HOEis preferably fabricated with a nominal diffraction efficiencyη^(˜)100%. Each HOE may then be individually voltage-tuned to a valueη_(j)=(N−j+1)⁻¹, where, for example, N=9. If V_(o)=V_(sw), (where V_(sw)is the 100%-switching voltage), the fan-out is 1-to-0, i.e., no fan-out.If V₀=0 such that η₀=100%, the fan-out is 1-to-N. Examples ofreconfigurable voltage/fan-out schemes corresponding to thereconfigurable substrate mode optical interconnect shown in FIG. 26 areset forth in the following table.

Reconfigurable Fan-Out Scheme 1-to-9 Fan-Out 1-to-5 Fan-Out V₁ η = 11%V1′ η = 20% V₂ η = 12% V_(SW) η = 0% V₃ η = 14% V3′ η = 25% V₄ η = 16%V_(SW) η = 0% V₅ η = 20% V5′ η = 33% V₆ η = 25% V_(SW) η = 0% V₇ η = 33%V7′ η = 50% V₈ η = 50% V_(SW) η = 0% V₉ η = 100% V9′ η = 100% with eachoutput I_(j) = I₀/9 with each output I_(j) = I₀/5

In the 1-9 Fan-Out Configuration, the voltages V_(j) are adjusted toyield diffraction efficiencies such that the outputs will have equaloutput intensities. In the 1-5 Fan-Out Configuration, four of the HOEoutputs are set to yield zero diffraction efficiency, i.e., no output,and the remaining five voltages are adjusted to yield equal outputintensities of the five active channels. It will be appreciated that avariety of configurations are possible, such as a 1-to-5 fan-outinvolving just the first five channels, or a 1-to-3 fan-out involvingthe first, sixth, and ninth channel. Moreover, it will be appreciatedthat the relative intensities of the outputs can be advantageouslyadjusted by adjusting the switching voltages. In addition, for anysystem including N channels, the outputs can be matched by adjusting thevoltage of each HOE to V_(j)(N) to keep η_(j)=(N-j+1)⁻¹ for each valueof N.

It will be appreciated that such systems can include a plurality ofinputs and that these inputs may be disposed on either side of thesubstrate. Similarly, such systems could advantageously include one or aplurality of outputs and that these outputs may be disposed on eitherside of the substrate. It will be further appreciated that a staticinput could be combined with switchable outputs and that static outputscould be substituted for one or all of the switchable outputs. Moreover,as noted above, the ability to switch the PDLC grating allows forselected control of the intensity and position of light coupled into orout of the substrate and has more potential for use as reconfigurableoptical interconnects.

It will be appreciated that prepolymer mixtures for the preparation ofswitchable slanted gratings have been described herein. In thepreparation of switchable slanted gratings for use as optical couplingdevices, it is desirable to select the prepolymer mixture so that theaverage refractive index of the resulting grating is similar to therefractive index of the substrate. In the preferred embodiment in whichthe grating is coupled to a glass substrate, it has been found that acombination of the following prepolymer components will yield a gratinghaving a desirable average index of refraction: dipentaerythritolpentaacrylate, the chain extender N-vinyl pyrrolidinone (NVP), theliquid crystal E7, the photoinitiator rose bengal and a co-initiatorN-phenyl glycine as described previously herein.

Highly slanted gratings in accordance with the invention can be preparedby disposing the prepolymer mixture between ITO coated glass slidesusing spacers of thickness 15-20 μm. The gratings were recorded usingthe 488 nm line of an argon-ion laser. The geometry for writing thegratings is shown in FIG. 18. Reading of the gratings was carried outusing a He—Ne(633 nm) laser beam.

Electrical switching of the gratings can be accomplished by monitoringthe change in the diffraction efficiency (DE) and transmission as thestrength of the electric field is increased. The electric field wasproduced by applying an amplified 2 kHZ square wave from a functiongenerator to the ITO electrodes on the sample. Using square wave pulse,the time responses of the gratings for electrical switching were alsomeasured. Both field on and off times were measured.

Low voltage, high resolution scanning electron microscopy (SEM) can beused to obtain film thickness and morphology. Samples for SEM can beprepared by removing the films from the glass slides and fracturing inliquid nitrogen. The liquid crystal in the sample can be removed bysoaking in methanol, and the films coated with 2-3 nm tungsten.

FIG. 27 shows the electrical switching curve for a switchable guidedsubstrate-mode coupler. The curve is very similar to non-slanted gratingcurves with a critical switching field of about 7.5 V/μm. The bestdynamic range measured was 17.8 dB in the transmitted beam and 20.6 dBin the diffracted beam. The switching times of the slanted gratings werealso measured as shown in FIGS. 28 and 29. The measured on time was 197μs and the off time 168 μs for an applied 95 V step voltage. Higherdriving voltages appear to lead to the unusual response shown in FIG. 30where the diffracted beam quickly reaches a minimum and then increasesagain to a constant. It is believed that this effect is due to therotation of the LC symmetry axis far past the angle for best indexmatching, a situation which is difficult to obtain in a non-slantedgrating but not in a highly slanted grating.

An experimental demonstration of the coupling of the diffracted lightfrom the slanted grating on to a glass slab and the electrical switchingis shown in FIGS. 7 and 8 of an article entitled “ElectricallySwitchable Holograms Containing Novel PDLC Structures,” L. V. Natarajan,R. L. Sutherland, V. P. Tondiglia, T. J. Bunning, and R. M. Neal, Vol.3143, Liquid Crystals, SPE (1997), incorporated herein by reference.Similarly, an SEM image, which clearly shows the slanted nature of thegrating, is shown in FIG. 9 of this article. According to the SEM image,the grating spacing was found to be 0.35 μm and the slant angle of thegrating calculated from the SEM image was found to be 26°, which was inagreement with the theoretical expectation. It is also seen from the SEMimage that the grating consists of periodic planes of phase separatedliquid crystals and polymer.

In another embodiment of the present invention, PDLC materials can bemade that exhibit a property known as form birefringence wherebypolarized light that is transmitted through the grating will have itspolarization modified. Such gratings are known as subwavelengthgratings, and they behave like a negative uniaxial crystal, such ascalcite, potassium dihydrogen phosphate, or lithium niobate, with anoptic axis perpendicular to the PDLC planes. Referring now to FIG. 13,there is shown an elevational view of a transmission grating 200 inaccordance with the present invention having periodic planes of polymerplanes 200 a and PDLC planes 200 b disposed perpendicular to the frontsurface 204 of the grating 200. The optic axis 206 is disposedperpendicular to polymer planes 200 a and the PDLC planes 200 b. Eachpolymer plane 200 a has a thickness t_(p), and refractive index n_(p),and each PDLC plane 200 b has a thickness t_(PDLC) and refractive indexN_(PDLC).

Where the combined thickness of the PDLC plane and the polymer plane issubstantially less than an optical wavelength (i.e.(t_(PDLC)+t_(p))<<λ), the grating will exhibit form birefringence. Asdiscussed below, the magnitude of the shift in polarization isproportional to the length of the grating. Thus, by carefully selectingthe length, L, of the subwavelength grating for a given wavelength oflight, one can rotate the plane of polarization or create circularlypolarized light. Consequently, such subwavelength gratings can bedesigned to act as a half-wave or quarter-wave plate, respectively.Thus, an advantage of this process is that the birefringence of thematerial may be controlled by simple design parameters and optimized toa particular wavelength, rather than relying on the given birefringenceof any material at that wavelength.

To form a half-wave plate, the retardance of the subwavelength gratingmust be equal to one-half of a wavelength, i.e., retardance=λ/2, and toform a quarter-wave plate, the retardance must be equal to one-quarterof a wavelength, i.e., retardance=λ/4. It is known that the retardanceis related to the net birefringence, |Δn|, which is the differencebetween the ordinary index of refraction, n_(o), and the extraordinaryindex of refraction n_(e), of the sub-wavelength grating by thefollowing relation:Retardance=|Δn|L=n _(e) −n _(o) |L

Thus, for a half-wave plate, i.e., a retardance equal to one-half of awavelength, the length of the subwavelength grating should be selectedso that:L=λ/(2|Δn|)

Similarly, for a quarter-wave plate, i.e., a retardance equal toone-quarter of a wavelength, the length of the subwavelength gratingshould be selected so that:L=λ/(4|Δn|)

If, for example, the polarization of the incident light is at an angleof 45° with respect to the optic axis 210 of a half-wave plate 212, asshown in FIG. 14 a, the plane polarization will be preserved, but thepolarization of the wave exiting the plate will be shifted by 90°. Thus,referring now to FIGS. 14 b and 14 c, where the half-wave plate 212 isplaced between cross polarizers 214 and 216, the incident light will betransmitted. If an appropriate switching voltage is applied, as shown inFIG. 14 d, the polarization of the light is not rotated and the lightwill be blocked by the second polarizer.

For a quarter-wave plate plane polarized light is converted tocircularly polarized light. Thus, referring now to FIG. 15 a, wherequarter wave plate 217 is placed between a polarizing beam splitter 218and a mirror 219, the reflected light will be reflected by the beamsplitter 218. If an appropriate switching voltage is applied, as shownin FIG. 15 b, the reflected light will pass through the beam splitterand be retroreflected on the incident beam.

Referring now to FIG. 16 a, there is shown an elevational view of asubwavelength grating 230 recorded in accordance with theabove-described methods and having periodic planes of polymer channels230 a and PDLC channels 230 b disposed perpendicular to the frontsurface 234 of grating 230. As shown FIG. 16 a, the symmetry axis 232 ofthe liquid crystal domains is disposed in a direction parallel to thefront surface 234 of the grating and perpendicular to the periodicchannels 230 a and b of the grating 230. Thus, when an electric field Eis applied across the grating, as shown in FIG. 15 b, the symmetry axis232 distorts and reorients in a direction along the field E, which isperpendicular to the front surface 234 of the grating and parallel tothe periodic channels 230 a and 230 b of the grating 230. As a result,subwavelength grating 230 can be switched between a state where itchanges the polarization of the incident radiation and a state in whichit does not. Without wishing to be bound by any theory, it is currentlybelieved that the direction of the liquid crystal domain symmetry 232 isdue to a surface tension gradient which occurs as a result of theanisotropic diffusion of monomer and liquid crystal during recording ofthe grating and that this gradient causes the liquid crystal domainsymmetry to orient in a direction perpendicular to the periodic planes.

As discussed in Born and Wolf, Principles of Optics, 5th Ed., New York(1975) and incorporated herein by reference, the birefringence of asubwavelength grating is given by the following relation:

${n_{e}^{2} - n_{o}^{2}} = \frac{- \left\lbrack {\left( f_{PDLC} \right)\left( f_{p} \right)\left( {n_{PDLC}^{\underset{\_}{2}} - n_{p}^{\underset{\_}{2}}} \right)}\overset{25}{\rbrack} \right.}{\left\lbrack {{f_{PDLC}n_{PDLC}^{2}} + {f_{p}n_{p}^{2}}} \right\rbrack}$

where

n_(o)=the ordinary index of refraction of the subwavelength grating;

${n_{e}^{2} - n_{o}^{2}} = \frac{- \left\lbrack {\left( f_{PDLC} \right)\left( f_{p} \right)\left( {n_{PDLC}^{\underset{\_}{2}} - n_{p}^{\underset{\_}{2}}} \right)} \right\rbrack}{\left\lbrack {{f_{PDLC}n_{PDLC}^{2}} + {f_{p}n_{p}^{2}}} \right\rbrack}$

where

n_(o)=the ordinary index of refraction of the subwavelength grating;

n_(e)=the extraordinary index of refraction;

n_(PDLC)=the refractive index of the PDLC plane;

n_(p)=the refractive index of the polymer plane;

n_(LC)=the effective refractive index of the liquid crystal seen by anincident optical wave;

f_(PDLC)=t_(PDLC)/(t_(PDLC)+t_(p))

f_(P)=t_(P)/(t_(PDLC)+t_(P))

Thus, the net birefringence of the subwavelength grating will be zero ifn_(PDLC)=n_(p).

It is known that the effective refractive index of the liquid crystal,n_(LC), is a function of the applied electric field, having a maximumwhen the field is zero and a value equal to that of the polymer, np, atsome value of the electric field, E_(MAX). Thus, by application of anelectric field, the refractive index of the liquid crystal, n_(LC), and,hence, the refractive index of the PDLC plane can be altered. Using therelationship set forth above, the net birefringence of a subwavelengthgrating will be a minimum when n_(PDLC) is equal to n_(p), i.e., whenn_(LC)=n_(p). Therefore, if the refractive index of the PDLC plane canbe matched to the refractive index of the polymer plane, i.e.,n_(PDLC)=n_(p), by the application of an electric field, thebirefringence of the subwavelength grating can be switched off.

The following equation for net birefringence, i.e., |Δn|=|n_(e)−n_(o)|,follows from the equation given in Born and Wolf (reproduced above):

Furthermore, it is known that the refractive index of the PDLC planen_(PDLC) is related to the effective refractive index of the liquidcrystal seen by an incident optical wave, n_(LC), and the refractiveindex of the surrounding polymer plane, n_(p), by the followingrelation:n _(PDLC) =n _(p) +f _(LC) [n _(LC) −n _(p)]where f_(LC) is the volume fraction of liquid crystal dispersed in thepolymer within the PDLC plane, f_(LC)=[V_(LC)/(V_(LC)+V_(P))].

By way of example, a typical value for the effective refractive indexfor the liquid crystal in the absence of an electric field isn_(LC)=1.7, and for the polymer layer n_(p)=1.5. For a grating where thethickness of the PDLC planes and the polymer planes are equal (i.e.,t_(PDLC)=t_(p), f_(PDLC)=0.5=fp) and f_(LC)=0.35, the net birefringence,Δn, of the subwavelength grating is approximately 0.008. Thus, where theincident light has a wavelength of 0.8 μm, the length of thesubwavelength grating should be 50 μm for a half-wave plate and 25 μmfor a quarter-wave plate. Furthermore, by application of an electricfield of approximately 5 V/μm, the refractive index of the liquidcrystal can be matched to the refractive index of the polymer and thebirefringence of the subwavelength grating turned off. Thus, theswitching voltage, V_(n), for a halfwave plate is on the order of 250volts, and for a quarterwave plate approximately 125 volts.

By applying such voltages, the plates can be switched between the on andoff (zero retardance) states on the order of microseconds. As a means ofcomparison, current Pockels cell technology can be switched innanoseconds with voltages of approximately 1000-2000 volts, and bulknematic liquid crystals can be switched on the order of millisecondswith voltages of approximately 5 volts.

In an alternative embodiment of the invention shown in FIG. 17, theswitching voltage of the subwavelength grating can be reduced bystacking several subwavelength gratings 220 a-e together, and connectingthem electrically in parallel. By way of example, it has been found thata stack of five gratings each with a length of 10 μm yields thethickness required for a half-wave plate. It should be noted that thelength of the sample is somewhat greater than 50 μm, because eachgrating includes an indium-tin-oxide coating which acts as a transparentelectrode. The switching voltage for such a stack of plates, however, isonly 50 volts.

Subwavelength gratings in accordance with the present invention areexpected to find suitable application in the areas of polarizationoptics and optical switches for displays and laser optics, as well astunable filters for telecommunications, colorimetry, spectroscopy, laserprotection, and the like. Similarly, electrically switchabletransmission gratings have many applications for which beams of lightmust be deflected or holographic images switched. Among theseapplications are: fiber optic switches, reprogrammable N×N opticalinterconnects for optical computing, beam steering for laser surgery,beam steering for laser radar, holographic image storage and retrieval,digital zoom optics (switchable holographic lenses), graphic arts andentertainment, and the like.

A switchable hologram is one for which the diffraction efficiency of thehologram may be modulated by the application of an electric field, andcan be switched from a fully on state (high diffraction efficiency) to afully off state (low or zero diffraction efficiency). A static hologramis one whose properties remain fixed independent of an applied field. Inaccordance with the present invention, a high contrast static hologramcan also be created. In this variation of the present invention, theholograms are recorded as described previously. The cured polymer filmis then soaked in a suitable solvent at room temperature for a shortduration and finally dried. For the liquid crystal E7, methanol hasshown satisfactory application. Other potential solvents includealcohols such as ethanol, hydrocarbons such as hexane and heptane, andthe like. When the material is dried, a high contrast static hologramwith high diffraction efficiency results. The high diffractionefficiency is a consequence of the large index modulation in the film(Δn˜0.5) because the second phase domains are replaced with empty (air)voids (n˜1).

Similarly, in accordance with the present invention, a highbirefringence static sub-wavelength wave-plate can also be formed. Dueto the fact that the refractive index for air is significantly lowerthan for most liquid crystals, the corresponding thickness of thehalf-wave plate would be reduced accordingly. Synthesized waveplates inaccordance with the present invention can be used in many applicationsemploying polarization optics, particularly where a material of theappropriate birefringence at the appropriate wavelength is unavailable,too costly, or too bulky.

In the claims, the term polymer-dispersed liquid crystals andpolymer-dispersed liquid crystal material includes, as may beappropriate, solutions in which none of the monomers have yetpolymerized or cured, solutions in which some polymerization hasoccurred, and solutions which have undergone complete polymerization.Those of skill in the art in the field of the invention will clearlyunderstand that the use herein of the standard term used in the art,polymer-dispersed liquid crystals (which grammatically refers to liquidcrystals dispersed in a fully polymerized matrix) is meant to includeall or part of a more grammatically correct prepolymer-dispersed liquidcrystal material or a more grammatically correct starting material for apolymer-dispersed liquid crystal material.

It will be seen that modifications to the invention as described may bemade, as might occur to one with skill in the field of the invention,within the intended scope of the claims. Therefore, all embodimentscontemplated have not been shown in complete detail. Other embodimentsmay be developed without departing from the spirit of the invention orfrom the scope of the claims.

1. A system for forming a slanted grating comprising: a samplecomprising a polymerizable monomer, a liquid crystal, a chain-extendingmonomer, a co-initiator, and a photoinitiator; and a first incident beamand a second incident beam entering the sample forming the slantedgrating therein, wherein an angle of incidence of the first incidentbeam with respect to a normal from the sample is different from an angleof incidence of the second incident beam; a transparent substrate placedin optical contact with the formed slanted grating; and an at least oneadditional slanted grating placed in optical contact with thetransparent substrate.
 2. The system according to claim 1, wherein thefirst incident beam and the second incident beam enter the sample fromopposite sides of the sample.
 3. The system according to claim 1,wherein the first incident beam and the second incident beam enter thesample from a same side of the sample.
 4. The system according to claim1, further comprising a prism assembly, wherein the first and secondincident beams are directed through the prism assembly.
 5. The systemaccording to claim 4, wherein the prism assembly comprises a first rightangle prism comprising a front face and a back face; and a second rightangle prism comprising a front face and a back face.
 6. The systemaccording to claim 4, wherein the prism assembly is disposed on thesurface of the sample.
 7. The system according to claim 5, furthercomprising an index matching fluid between the two right angle prisms.8. The system according to claim 4, further comprising an index matchingfluid between the prism assembly and the sample.
 9. The system accordingto claim 5, wherein the first incident beam is directed at a normal tothe first right angle prism.
 10. The system according to claim 5,wherein the second incident beam is directed at a normal to the secondright angle prism.
 11. The system according to claim 5, furthercomprising at least one neutral density filter placed in optical contactwith the back face of the first right angle prism and the back face ofthe second right angle prism.
 12. The system according to claim 5,further comprising a beam splitter, wherein the beam splitter splits abeam into the first incident beam and the second incident beam.
 13. Thesystem according to claim 1, wherein the transparent substrate comprisesglass.
 14. The system according to claim 1, wherein the transparentsubstrate is located at a point where the first and second incidentbeams are totally internally reflected within the transparent substrateso that the first and second incident beams will be diffracted out ofthe transparent substrate.
 15. The system according to claim 1, whereinthe transparent substrate has the same refractive index as the formedslanted grating.
 16. The system according to claim 1, further comprisingan anti-reflective coating.
 17. The system according to claim 1, whereina slant angle of the formed slanted grating is greater than about 23degrees.
 18. The system according to claim 1, wherein a slant angle ofthe formed slanted grating is greater than a critical angle for thetotal internal reflection of the transparent substrate.
 19. The systemaccording to claim 13, wherein the sample comprises dipentaerythritolpentaacrylate, N-vinyl pyrrolidinone, a mixture of cyanobiphenyls, rosebengal, and N-phenyl glycine.
 20. The system according to claim 1,further comprising two glass slides, wherein the sample is disposedbetween the glass slides.
 21. The system according to claim 20, furthercomprising at least one spacer.
 22. The system according to claim 21,wherein the at least one spacer have a thickness of about 15 to 20 μm.23. The system according to claim 21, wherein the at least one spacerhave a thickness of about 15 to 100 μm.
 24. The system according toclaim 1, further comprising an argon-ion laser for recording thegratings.
 25. The system according to claim 24, wherein the argon-ionlaser is about 488 nm.
 26. The system according to claim 1, furthercomprising a He—Ne laser beam for reading the formed slanted grating.27. A system for forming a slanted grating comprising: a samplecomprising a polymerizable monomer, a liquid crystal, a chain-extendingmonomer, a co-initiator, and a photoinitiator; and a first incident beamand a second incident beam entering the sample forming the slantedgrating therein, wherein an angle of incidence of the first incidentbeam with respect to a normal from the sample is different from an angleof incidence of the second incident beam; a transparent substrate placedin optical contact with the formed slanted grating; and individualvoltage sources connected to the slanted grating and the at least oneadditional slanted grating.
 28. The system according to claim 27,wherein the first incident beam and the second incident beam enter thesample from opposite sides of the sample.
 29. The system according toclaim 27, wherein the first incident beam and the second incident beamenter the sample from a same side of the sample.
 30. The systemaccording to claim 27, further comprising a prism assembly, wherein thefirst and second incident beams are directed through the prism assembly.31. The system according to claim 30, wherein the prism assemblycomprises a first right angle prism comprising a front face and a backface; and a second right angle prism comprising a front face and a backface.
 32. The system according to claim 30, wherein the prism assemblyis disposed on the surface of the sample.
 33. The system according toclaim 31, further comprising an index matching fluid between the tworight angle prisms.
 34. The system according to claim 30, furthercomprising an index matching fluid between the prism assembly and thesample.
 35. The system according to claim 31, wherein the first incidentbeam is directed at a normal to the first right angle prism.
 36. Thesystem according to claim 31, wherein the second incident beam isdirected at a normal to the second right angle prism.
 37. The systemaccording to claim 31, further comprising at least one neutral densityfilter placed in optical contact with the back face of the first rightangle prism and the back face of the second right angle prism.
 38. Thesystem according to claim 31, further comprising a beam splitter,wherein the beam splitter splits a beam into the first incident beam andthe second incident beam.
 39. The system according to claim 27, whereinthe transparent substrate comprises glass.
 40. The system according toclaim 27, wherein the transparent substrate is located at a point wherethe first and second incident beams are totally internally reflectedwithin the transparent substrate so that the first and second incidentbeams will be diffracted out of the transparent substrate.
 41. Thesystem according to claim 27, wherein the transparent substrate has thesame refractive index as the formed slanted grating.
 42. The systemaccording to claim 27, further comprising an anti-reflective coating.43. The system according to claim 27, wherein a slant angle of theformed slanted grating is greater than about 23 degrees.
 44. The systemaccording to claim 27, wherein a slant angle of the formed slantedgrating is greater than a critical angle for the total internalreflection of the transparent substrate.
 45. The system according toclaim 39, wherein the sample comprises dipentaerythritol pentaacrylate,N-vinyl pyrrolidinone, a mixture of cyanobiphenyls, rose bengal, andN-phenyl glycine.
 46. The system according to claim 27, furthercomprising two glass slides, wherein the sample is disposed between theglass slides.
 47. The system according to claim 46, further comprisingat least one spacer.
 48. The system according to claim 47, wherein theat least one spacer have a thickness of about 15 to 20 μm.
 49. Thesystem according to claim 47, wherein the at least one spacer have athickness of about 15 to 100 μm.
 50. The system according to claim 27,further comprising an argon-ion laser for recording the gratings. 51.The system according to claim 50, wherein the argon-ion laser is about488 nm.
 52. The system according to claim 27, further comprising a He—Nelaser beam for reading the formed slanted grating.